{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "genuine-roads",
   "metadata": {},
   "source": [
    "# Modeling Covid Cases and Deaths with Python by Ted Petrou\n",
    "\n",
    "**Topics**\n",
    "\n",
    "* Dashboard Overview\n",
    "* Data Smoothing\n",
    "* Modeling with \"S\"-shaped curves\n",
    "* Ensemble Modeling"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "patent-regulation",
   "metadata": {},
   "source": [
    "## Dashboard Overview\n",
    "\n",
    "* https://coronavirus.dunderdata.com"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "congressional-perspective",
   "metadata": {},
   "source": [
    "## Data Source\n",
    "\n",
    "* https://github.com/CSSEGISandData/COVID-19\n",
    "* cleaned\n",
    "* cumulative"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "effective-episode",
   "metadata": {},
   "source": [
    "### Read in last 150 days of USA cases"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "quiet-genre",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Alabama</th>\n",
       "      <th>Alaska</th>\n",
       "      <th>American Samoa</th>\n",
       "      <th>Arizona</th>\n",
       "      <th>Arkansas</th>\n",
       "      <th>California</th>\n",
       "      <th>Colorado</th>\n",
       "      <th>Connecticut</th>\n",
       "      <th>Cruise Ship</th>\n",
       "      <th>Delaware</th>\n",
       "      <th>District of Columbia</th>\n",
       "      <th>Florida</th>\n",
       "      <th>Georgia</th>\n",
       "      <th>Guam</th>\n",
       "      <th>Hawaii</th>\n",
       "      <th>Idaho</th>\n",
       "      <th>Illinois</th>\n",
       "      <th>Indiana</th>\n",
       "      <th>Iowa</th>\n",
       "      <th>Kansas</th>\n",
       "      <th>Kentucky</th>\n",
       "      <th>Louisiana</th>\n",
       "      <th>Maine</th>\n",
       "      <th>Maryland</th>\n",
       "      <th>Massachusetts</th>\n",
       "      <th>Michigan</th>\n",
       "      <th>Minnesota</th>\n",
       "      <th>Mississippi</th>\n",
       "      <th>Missouri</th>\n",
       "      <th>Montana</th>\n",
       "      <th>Nebraska</th>\n",
       "      <th>Nevada</th>\n",
       "      <th>New Hampshire</th>\n",
       "      <th>New Jersey</th>\n",
       "      <th>New Mexico</th>\n",
       "      <th>New York</th>\n",
       "      <th>North Carolina</th>\n",
       "      <th>North Dakota</th>\n",
       "      <th>Northern Mariana Islands</th>\n",
       "      <th>Ohio</th>\n",
       "      <th>Oklahoma</th>\n",
       "      <th>Oregon</th>\n",
       "      <th>Pennsylvania</th>\n",
       "      <th>Puerto Rico</th>\n",
       "      <th>Rhode Island</th>\n",
       "      <th>South Carolina</th>\n",
       "      <th>South Dakota</th>\n",
       "      <th>Tennessee</th>\n",
       "      <th>Texas</th>\n",
       "      <th>Utah</th>\n",
       "      <th>Vermont</th>\n",
       "      <th>Virgin Islands</th>\n",
       "      <th>Virginia</th>\n",
       "      <th>Washington</th>\n",
       "      <th>West Virginia</th>\n",
       "      <th>Wisconsin</th>\n",
       "      <th>Wyoming</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
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       "      <th></th>\n",
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       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2021-03-07</th>\n",
       "      <td>499819</td>\n",
       "      <td>59285</td>\n",
       "      <td>0</td>\n",
       "      <td>826454</td>\n",
       "      <td>324818</td>\n",
       "      <td>3599250</td>\n",
       "      <td>436612</td>\n",
       "      <td>285330</td>\n",
       "      <td>152</td>\n",
       "      <td>88354</td>\n",
       "      <td>41419</td>\n",
       "      <td>1944995</td>\n",
       "      <td>1023487</td>\n",
       "      <td>7749</td>\n",
       "      <td>28107</td>\n",
       "      <td>172931</td>\n",
       "      <td>1198257</td>\n",
       "      <td>667262</td>\n",
       "      <td>339672</td>\n",
       "      <td>298188</td>\n",
       "      <td>410709</td>\n",
       "      <td>433785</td>\n",
       "      <td>45794</td>\n",
       "      <td>387319</td>\n",
       "      <td>591356</td>\n",
       "      <td>656072</td>\n",
       "      <td>490011</td>\n",
       "      <td>297581</td>\n",
       "      <td>498008</td>\n",
       "      <td>100914</td>\n",
       "      <td>203026</td>\n",
       "      <td>296190</td>\n",
       "      <td>76861</td>\n",
       "      <td>812609</td>\n",
       "      <td>186922</td>\n",
       "      <td>1694651</td>\n",
       "      <td>872176</td>\n",
       "      <td>100391</td>\n",
       "      <td>145</td>\n",
       "      <td>978471</td>\n",
       "      <td>428997</td>\n",
       "      <td>157285</td>\n",
       "      <td>950773</td>\n",
       "      <td>101327</td>\n",
       "      <td>128121</td>\n",
       "      <td>525865</td>\n",
       "      <td>113589</td>\n",
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       "      <td>2695558</td>\n",
       "      <td>374850</td>\n",
       "      <td>16083</td>\n",
       "      <td>2714</td>\n",
       "      <td>585700</td>\n",
       "      <td>344532</td>\n",
       "      <td>133445</td>\n",
       "      <td>621654</td>\n",
       "      <td>54764</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-03-08</th>\n",
       "      <td>500092</td>\n",
       "      <td>59624</td>\n",
       "      <td>0</td>\n",
       "      <td>827237</td>\n",
       "      <td>324951</td>\n",
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       "      <td>28148</td>\n",
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       "      <td>1199441</td>\n",
       "      <td>667736</td>\n",
       "      <td>340128</td>\n",
       "      <td>298788</td>\n",
       "      <td>411040</td>\n",
       "      <td>434289</td>\n",
       "      <td>45933</td>\n",
       "      <td>388035</td>\n",
       "      <td>592344</td>\n",
       "      <td>658355</td>\n",
       "      <td>490483</td>\n",
       "      <td>297651</td>\n",
       "      <td>498269</td>\n",
       "      <td>100959</td>\n",
       "      <td>203027</td>\n",
       "      <td>296393</td>\n",
       "      <td>77060</td>\n",
       "      <td>814916</td>\n",
       "      <td>187040</td>\n",
       "      <td>1700091</td>\n",
       "      <td>874906</td>\n",
       "      <td>100419</td>\n",
       "      <td>146</td>\n",
       "      <td>979725</td>\n",
       "      <td>429162</td>\n",
       "      <td>157515</td>\n",
       "      <td>952818</td>\n",
       "      <td>101327</td>\n",
       "      <td>128981</td>\n",
       "      <td>526716</td>\n",
       "      <td>113596</td>\n",
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       "      <td>133627</td>\n",
       "      <td>621842</td>\n",
       "      <td>54903</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-03-09</th>\n",
       "      <td>500616</td>\n",
       "      <td>59712</td>\n",
       "      <td>0</td>\n",
       "      <td>827800</td>\n",
       "      <td>325383</td>\n",
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       "      <td>438025</td>\n",
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       "      <td>152</td>\n",
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       "      <td>1952733</td>\n",
       "      <td>1026692</td>\n",
       "      <td>7752</td>\n",
       "      <td>28189</td>\n",
       "      <td>173790</td>\n",
       "      <td>1200938</td>\n",
       "      <td>668308</td>\n",
       "      <td>340891</td>\n",
       "      <td>298806</td>\n",
       "      <td>411917</td>\n",
       "      <td>434926</td>\n",
       "      <td>46066</td>\n",
       "      <td>388666</td>\n",
       "      <td>593607</td>\n",
       "      <td>659890</td>\n",
       "      <td>492108</td>\n",
       "      <td>298008</td>\n",
       "      <td>498663</td>\n",
       "      <td>101093</td>\n",
       "      <td>203279</td>\n",
       "      <td>296822</td>\n",
       "      <td>77252</td>\n",
       "      <td>819042</td>\n",
       "      <td>187238</td>\n",
       "      <td>1706924</td>\n",
       "      <td>875903</td>\n",
       "      <td>100514</td>\n",
       "      <td>146</td>\n",
       "      <td>981618</td>\n",
       "      <td>429432</td>\n",
       "      <td>158007</td>\n",
       "      <td>955743</td>\n",
       "      <td>101937</td>\n",
       "      <td>129277</td>\n",
       "      <td>527348</td>\n",
       "      <td>113753</td>\n",
       "      <td>785242</td>\n",
       "      <td>2704712</td>\n",
       "      <td>375669</td>\n",
       "      <td>16286</td>\n",
       "      <td>2744</td>\n",
       "      <td>588129</td>\n",
       "      <td>346403</td>\n",
       "      <td>133856</td>\n",
       "      <td>622444</td>\n",
       "      <td>54972</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Alabama  Alaska  American Samoa  Arizona  Arkansas  California  \\\n",
       "date                                                                         \n",
       "2021-03-07   499819   59285               0   826454    324818     3599250   \n",
       "2021-03-08   500092   59624               0   827237    324951     3602380   \n",
       "2021-03-09   500616   59712               0   827800    325383     3607891   \n",
       "\n",
       "            Colorado  Connecticut  Cruise Ship  Delaware  \\\n",
       "date                                                       \n",
       "2021-03-07    436612       285330          152     88354   \n",
       "2021-03-08    437187       287396          152     88563   \n",
       "2021-03-09    438025       288145          152     88679   \n",
       "\n",
       "            District of Columbia  Florida  Georgia  Guam  Hawaii   Idaho  \\\n",
       "date                                                                       \n",
       "2021-03-07                 41419  1944995  1023487  7749   28107  172931   \n",
       "2021-03-08                 41579  1948307  1024931  7751   28148  173309   \n",
       "2021-03-09                 41910  1952733  1026692  7752   28189  173790   \n",
       "\n",
       "            Illinois  Indiana    Iowa  Kansas  Kentucky  Louisiana  Maine  \\\n",
       "date                                                                        \n",
       "2021-03-07   1198257   667262  339672  298188    410709     433785  45794   \n",
       "2021-03-08   1199441   667736  340128  298788    411040     434289  45933   \n",
       "2021-03-09   1200938   668308  340891  298806    411917     434926  46066   \n",
       "\n",
       "            Maryland  Massachusetts  Michigan  Minnesota  Mississippi  \\\n",
       "date                                                                    \n",
       "2021-03-07    387319         591356    656072     490011       297581   \n",
       "2021-03-08    388035         592344    658355     490483       297651   \n",
       "2021-03-09    388666         593607    659890     492108       298008   \n",
       "\n",
       "            Missouri  Montana  Nebraska  Nevada  New Hampshire  New Jersey  \\\n",
       "date                                                                         \n",
       "2021-03-07    498008   100914    203026  296190          76861      812609   \n",
       "2021-03-08    498269   100959    203027  296393          77060      814916   \n",
       "2021-03-09    498663   101093    203279  296822          77252      819042   \n",
       "\n",
       "            New Mexico  New York  North Carolina  North Dakota  \\\n",
       "date                                                             \n",
       "2021-03-07      186922   1694651          872176        100391   \n",
       "2021-03-08      187040   1700091          874906        100419   \n",
       "2021-03-09      187238   1706924          875903        100514   \n",
       "\n",
       "            Northern Mariana Islands    Ohio  Oklahoma  Oregon  Pennsylvania  \\\n",
       "date                                                                           \n",
       "2021-03-07                       145  978471    428997  157285        950773   \n",
       "2021-03-08                       146  979725    429162  157515        952818   \n",
       "2021-03-09                       146  981618    429432  158007        955743   \n",
       "\n",
       "            Puerto Rico  Rhode Island  South Carolina  South Dakota  \\\n",
       "date                                                                  \n",
       "2021-03-07       101327        128121          525865        113589   \n",
       "2021-03-08       101327        128981          526716        113596   \n",
       "2021-03-09       101937        129277          527348        113753   \n",
       "\n",
       "            Tennessee    Texas    Utah  Vermont  Virgin Islands  Virginia  \\\n",
       "date                                                                        \n",
       "2021-03-07     783484  2695558  374850    16083            2714    585700   \n",
       "2021-03-08     783904  2699083  375110    16199            2744    586592   \n",
       "2021-03-09     785242  2704712  375669    16286            2744    588129   \n",
       "\n",
       "            Washington  West Virginia  Wisconsin  Wyoming  \n",
       "date                                                       \n",
       "2021-03-07      344532         133445     621654    54764  \n",
       "2021-03-08      345731         133627     621842    54903  \n",
       "2021-03-09      346403         133856     622444    54972  "
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('dashboard.mplstyle')\n",
    "pd.set_option('display.max_columns', None)\n",
    "\n",
    "usa_cases = pd.read_csv('data/usa_cases.csv', index_col='date', parse_dates=['date']).iloc[-150:]\n",
    "usa_cases.tail(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "editorial-steam",
   "metadata": {},
   "source": [
    "# Data Smoothing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "broad-sphere",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2021-03-07    2695558\n",
       "2021-03-08    2699083\n",
       "2021-03-09    2704712\n",
       "Name: Texas, dtype: int64"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "texas = usa_cases['Texas']\n",
    "texas.tail(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "devoted-split",
   "metadata": {},
   "source": [
    "### Cumulative graph\n",
    "\n",
    "* looks smooth"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "fifteen-belarus",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "texas.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "consistent-interview",
   "metadata": {},
   "source": [
    "### Daily graph\n",
    "\n",
    "* not smooth\n",
    "* reporting oddities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "sensitive-plumbing",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "texas_daily = texas.diff().dropna()\n",
    "texas_daily.plot(title='Texas Daily Cases');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "unique-wichita",
   "metadata": {},
   "source": [
    "### Smoothing techniques\n",
    "\n",
    "* rolling average\n",
    "* lowess"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "normal-advertising",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "texas_daily.plot(label='actual');\n",
    "texas_smoothed = texas_daily.rolling(7, min_periods=1, center=True).mean()\n",
    "texas_smoothed.plot(title='Smoothed Texas Daily Cases', label='smoothed').legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "weekly-worth",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(3):\n",
    "    texas_smoothed = texas_smoothed.rolling(7, min_periods=1, center=True).mean()\n",
    "\n",
    "texas_daily.plot(label='actual')\n",
    "texas_smoothed.plot(title='Texas Daily Cases - Repeated Rolling Average Smoothed', label='smoothed').legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "continuing-journalism",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "texas_cumulative_smoothed = texas_smoothed.cumsum() + texas.iloc[0]\n",
    "texas.plot(label='actual', title='Texas Cumulative Cases - Rolling Average Smoothed')\n",
    "texas_cumulative_smoothed.plot(label='smoothed').legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "dense-musician",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(texas_daily.index, texas_daily.values, s=10);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "lucky-kingston",
   "metadata": {},
   "source": [
    "### Lowess\n",
    "\n",
    "Locally weighted scatter plot smoothing\n",
    "\n",
    "* A linear regression line is fit to each point using the nearest (local) points\n",
    "* Points are weighted by distance to current point\n",
    "* Choose number of points with `frac`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "catholic-howard",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.nonparametric.smoothers_lowess import lowess\n",
    "\n",
    "n = len(texas_daily)\n",
    "x = np.arange(n)\n",
    "y = texas_daily.values\n",
    "\n",
    "frac = 20 / n\n",
    "y_lowess = lowess(y, x, frac=frac, return_sorted=False)\n",
    "texas_daily_lowess = pd.Series(y_lowess, index=texas_daily.index)\n",
    "texas_daily.plot(label='actual')\n",
    "texas_daily_lowess.plot(label='smoothed', title=\"Texas Daily Cases - Lowess Smooothed\").legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "physical-start",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "texas_cumulative_lowess = texas_daily_lowess.cumsum() + texas.iloc[0]\n",
    "texas.plot(label='actual')\n",
    "texas_cumulative_lowess.plot(label='smoothed', title=\"Texas Cumulative Cases - Lowess Smooothed\").legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ancient-accounting",
   "metadata": {},
   "source": [
    "## Modeling with \"S\"-shaped curves\n",
    "\n",
    "* Only modeling with historical data\n",
    "* Modeling cumulative\n",
    "* [Sigmoid functions](https://en.wikipedia.org/wiki/Sigmoid_function)\n",
    "\n",
    "$$f(x) = \\frac{1}{1 + e^x}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "dominican-peninsula",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-5, 5, 50)\n",
    "y = 1 / (1 + np.exp(x))\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, y)\n",
    "ax.set_title('Simple \"S\"-Curve - Logistic Function');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "better-trailer",
   "metadata": {},
   "source": [
    "Correct shape, needs to be transposed around y axis\n",
    "\n",
    "$$f(x) = \\frac{1}{1 + e^{-x}}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "clinical-robertson",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-5, 5, 50)\n",
    "y = 1 / (1 + np.exp(-x))\n",
    "plt.plot(x, y)\n",
    "plt.title('Logistic function transposed around y-axis');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "coordinated-purse",
   "metadata": {},
   "source": [
    "Increase maximum\n",
    "\n",
    "$$f(x) = \\frac{L}{1 + e^{-x}}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ancient-culture",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "L = 10_000\n",
    "x = np.linspace(-5, 5, 50)\n",
    "y = L / (1 + np.exp(-x))\n",
    "plt.plot(x, y)\n",
    "plt.title(f'Logistic Function with Asymptote at {L:,}');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "balanced-gender",
   "metadata": {},
   "source": [
    "Allow horizontal shift, $x_0$ is middle, inflection point.\n",
    "\n",
    "$$f(x) = \\frac{L}{1 + e^{-(x - x_0)}}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "neural-template",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tQvaX/XVsGUu9METgFyJiP7K/xVenlL7TzS5+SjY+9unAQxHxW7aMEz6JbDi9Z3bkNfShcWTjpV+YHwtzyX6w7Uo2ZvlEsiEMv1lYIaV0fUR8mayv8ZMRcRVZX91dyY63LwNfSyktjohfkY37fE9E/IHsODmN7PjZs5ICppQejuzmMd8BHo+I68k+R2PzbRxDNkze+/L8t0XEj8mOoTl5+UaSjURyV77/Svwtf7wt/2F2F7Ab8EayY6TszXd66RNkdXZeHlzeTzZE5ClkFw5X8m8NZP8S/DuwMCLuIPthP4JseMcTyBrqPpGPEFMtPX12/iHPc3n+ebyX7Ly1G1kL+RSyC1cLF6q+l2zUl5sjojBO+OvIupU9RGXnSal/1HJ8RB8+hvqDLeNnd/e4uij/gcCVZAHkZrIL5L4OTO5i+68lu/J/A9kwhleQ/cU6h2y0heK8Z7PtOOGvJ2uBfYysv+VasoDq82w7lvNospuZLCJrEU7AuSWv85IyZRwLfA54lOzLchVZ0PBZoLGCOrwt3/YuFeR9HVnQs5HsArufkAVwt9H1OOHHltnONnVVtOxYsgvYlpNdLLiA7EK8o0ry/RPZl/zGfFvzS19TmW03kP0wKqy3Js9bbhz3nsrY+f70w3E9kuwHw3fJusgsJWsxXZEfjx8GmrpY90yyYHpV/hrn5e/T7JJj7cv5so1kFzj+F9k/HQm4rWSbl1BmzOl82SvIhpxcSPaZWkoWuP0PsF9J3nqyAPfp/L19mqz1eq+uju8uXuMUsjHBF5L9OHmI7AfpHuW2Qy/HuM/TdwMuJ+uGtZ7sxkCv6e64LrONmWQ3pvoN8CTZUIWbyH5cXgG8rtLydPU+dHWc9vCedfnZyZdPIDtHzSE7963Nj5GfAWeU2d6ryUblKT5P7tbda/HhoxqPSCkhaejIuwi8CMxJKR1e6/JIkqRt2SdcGqQiYlRpn9zIbpByIdlFlVfXolySJKlntoRLg1R+k5Q7yfqRPwOMIfvb9aVkXUoOT0V3/pMkSQOHQbg0SEXEFLLbbx9D1u+5gezCqquBL6SUVtWscJIkqVsG4ZIkSVKV2SdckiRJqjKDcEmSJKnKDMIlSZKkKjMIlyRJkqrMIFySJEmqMoNwSZIkqcoaal2AgW7x4sVVH8Nx7ty5AMyePbvaux5UrKfKWE+VsZ4qYz1VxnqqjPXUM+uoMrWsp2nTpsX2rGdLuCRJklRlBuGSJElSlRmES5IkSVVmEC5JkiRVmUG4JEmSVGUG4ZIkSVKVGYRLkiRJVWYQLkmSJFXZDgfhETEjIr4REX+OiA0RkSJivzL5IiLOiYhnImJjRDwSEe/qYpunRcS9eb6FEXF+RIwsk2+/iLg+ItZFxKqIuDwippfJNy4iLo6IJXkZ/xgRR+7oa5ckSZK2R1+0hL8E+DtgFXB7N/nOBb4AfA84Cbge+FFEnF2cKSKOB64B5gCn5Ot8IF+vON8u+f4m5Pt/D/Ay4JaIaCrKF/n2Tgc+mk/XAjdHhLefkiRJUtX1xW3r70gp7QyQB9QnlWaIiMnAx4ELU0rn58m3RcRM4PyIuCyl1JanXwDclVI6O5+/JSIS8O2I+HJKaU6efg7QDJyWUlqe7+dRsuD9PcBFeb7TgGOAE1NKv8/z/RF4HPgs8JY+qANJkiSpYjvcEp5S6qgg20nASOCykvSfADsDR0DWtQU4tEy+nwHtZK3YBacDNxQC8Lwsc4F7gTeV5HuxEIDn+TYCVwCnRkRjBeWXJEmS+kxftIRX4gCgjaz1udjD+XQ2cGeerzgdgJTSmohYkOcjIpqBPYFLy+zrYbZujT8AmNtFvqZ8O6Xl6jR3brlV+1dLS0vN9j2YWE+VsZ4qYz1VxnqqjPVUmf6op5QSbQlaO6C1PZ92JFo7oK0D2hO0d0BbgvaOlE9L06E9JdoTdBQ9tp1PW813kE1T/jyVPO9IkEhbL+9uCrS3d5CAuOt+OsgSU+G15nkLz+lcN21JK1peyFO8jdJ1KZdeklCSbZu00u2Uy1MuoXR5F5vpYuNZ7lF33seXjt7mMsJ+NW3atO1ar1pB+ERgdZlW8xVFy4unK8tsY0XR8glAVJCvsM3nu8hHSV5JklQl7Qk2tMHqjg7Wt8LGdtjYntjUlj3f1J7Y1A4b2/L0dvL5xMb2LKje3JGKgu3sMbREPu1VSDoMZfXU2F7jYvRCtYLwoLKjp9IjrTdHZKX7Lmv27Opfu1loEajFvgcT66ky1lNlrKfKWE+VGa711NLazpJ1rSxd18qy9ZtZ3dLOmo1trN6YTddsamdNSxtrNrWxuqWddZsLvWJba1pubb8onY/ul5cmRElCj+t3IeUt4c0jGwfN565aQfhyYFxE1JW0hhdaoVcU5StOpyTvE0X5Uzf5VhTNL+8mHyV5JUlSiZQSaza1s3Tt5izIXt/KkqLnS9dtZum6VtZuql0zZAAjG+oY0RDZtL6OkQ3BiPo6RtQHIxrqaKwLGuuD+nzaUDxfV0dDPdm0LktrqA/qA+rrgvoI6uqgPrJl9UXP62LLfETRtC6b1kVQV2YahSnZ84jsYr3O5wFPPvEkEbDvPvtAvm7kr5fidbeaz4Lb0rRsNjrTCvVWyN+ZQNHybeYrDYurazD+8K1WED4XaAT2AR4rSp9dtLx4Ohv4YyFTRIwFZgI/BEgptUTEvKL1i81m6z7gc4FTu8i3EXimNy9EkqShqiMlFq/ZzPwVG3l25Ubmr9jy6OsAuy5gpwYY1RhMGbcTY0fWM2pEPTuNqKO5sZ7mxjp2GlHPTo11nc+bG+sYlU+bG+sY2VDHyPpsWl83cAPEHbGiOXtNU8eMqHFJ1NeqFYT/DtgMvBP4r6L0s4AlwF0AKaUFEXE/8A7g4qJ8bwfqgWuL0q4B3h0RE1JKKwEiYn/gMODfS/L9c0Qcn1K6Oc83EngbcH1Kyf/AJEnDSlt7yoLsPNB+Ng+0n125kc3t29eDsy5g4k6NTB3dyJTRjUwZPYLxTQ2Mba5n7MgGxjU3MHZkPWObGhjXnAXcjz7yCACzZ+/bly9PGhT6JAiPiMJY24fl0xMj4gBgaUrp9pTS0oi4EPhYRKwlC7pPJb/JTtEY4QCfAG6IiB+TDWG4L/Al4LKU0kNF+S4kC+qvi4jzyEY6+SLwJPCDony/IWtV/0lEnAO8CHwImEp2AyFJkoa0ltZ2Hl68ngcXrePBRet5ePF6NrZVfgVjALuMHcHOY0Z0BtlTR49gyqhGpo7JphNHNdJQN/RaoqX+0lct4VeWzH89n94OHJs//wzZnSrfB3yOrBvIe1JKPyxeMaV0U0ScQRYg30DWZ/vifP3ifIsj4ljgq2RjfrcDNwIfSSm1FOVLEfFGskD+68AosrHETyi68Y8kSUPGyg2tPLhoPQ8tWscDi9bxxJINVNLA3VgfzBw/klkTm5g1oYlZE5vYfWITu01ooqmhL26yLamgT4LwlFKPP33zCzIvyB895b2WrbuedJXvEcrcobNMvlXAe/OHJElDytJ1m7l7wVoeXJgF3c+t3NRt/vqAl0xpZq9JzVnAnQfd08aNtDVbqpJq9QmXJEl9aHVLG7c8tZLfP76SBxau63Ys3qaGOmbvMopDdh3FwdNHM3uXUew0or5qZZW0LYNwSZIGifWb27nj6VX8/vGV/G3BGtq76NY9vrmBg6aP4pDpozlo+mj2nbITDfW2cEsDiUG4JEkD2Ka2Dv4yfzU3Pb6SP81bXXb0kubGOo7eYxwvnzmGg6ePZvcJI4fkcH3SUGIQLknSANPWnrh7wRpufmIltz+9ivWbt23ybqwPjpw1lhP2mcCr9hhHc6PdS6TBxCBckqQBYlNbB7+Zu5yf3PMCS9dtexuLuoDDZo7hhH0mcsxLxjFmpF/j0mDlp1eSpBrbnAffl3YRfB84bRQn7DuB414ygYmjGmtQQkl9zSBckqQa2dzWwW8fWc5P7n6BF0uC790mjOS0l07i+H0mMG3syBqVUFJ/MQiXJKnKWtuz4PvSv20bfO8+YSTvPnwar9t7AvWO2S0NWQbhkiRVSWt7B9c/uoJL/vYCL6zdvNWy3SaM5J9fOY3j9zH4loYDg3BJkvpZW3vi+keXc8ndL7B4TUnwPX4k/3y4wbc03BiES5LUjx5atI7P3/Qsz6/e+lbyM8aN5J8P34UT9p3oreKlYcggXJKkftDekfjhXYv50d8W01F0f51d8+D7RINvaVgzCJckqY8ta0n84OFWnlq9uDNt6uhG3nvkdF6/n8G3JINwSZL61I2PreCCuzbT0r4l7bi9x/Ox1+3G2Ca/diVlPBtIktQH1m9q58u3LeB3j63oTGturOMjx8zk1JdOJMLWb0lbGIRLkrSDHl68nnNvnMfC1VtGPpk1NvjSm/Zj5oSmGpZM0kBlEC5J0nZq70hcevcL/Oivi2nPL74M4ORZ9bxxz3oDcEldMgiXJGk7vLBmM5+9cT4PLFrXmTZldCPnvn4WI1c/V8OSSRoMDMIlSeqlm59YyQV/eI51m7dcffnal4zn48ftxrimBuaurmHhJA0KBuGSJPXCpXe/wMV/XtQ539RQx4ePmcEbZk/y4ktJFTMIlySpQpf8bTHf/cuWsb/3ndrMZ0/ag93t+y2plwzCJUmqwI/+upjv37UlAD9hnwl8+sTdaayvq2GpJA1WBuGSJPXgh39dzA+KAvDX7zuBT584i3rvfClpOxmES5LUjR/ctYgf/vWFzvmT9pvIf52wuwG4pB1iEC5JUhkpJX5w12J+9LctAfjJ+0/kU8cbgEvacQbhkiSVSCnx/bsW8+OiAPzU/SfySQNwSX3EIFySpCIpJb5312IuKQ7AXzqJTx63mwG4pD5jEC5JUi6lxHf/sohL736xM+20l07ik8fvRp1jgEvqQwbhkiSRBeDf+fMifnrPlgD8jbMn8fHjDMAl9T2DcEnSsJdS4jt/WsRP790SgJ9+wCQ+9joDcEn9wyBckjSspZT41p8W8rN7l3SmvemAyZzzupkG4JL6jUG4JGlY+/l9S7YKwM84cDL/8VoDcEn9yyBckjRsPbRoHd/508LO+TPzADwMwCX1s7paF0CSpFpY3dLGp2+YR3vK5l+95zgDcElVYxAuSRp2OlLiczfNZ8m6VgB2GTOCT52wuwG4pKoxCJckDTs/v28Jf56/BoD6OjjvlD0Y12QPTUnVYxAuSRpWHlq0jouL+oF/4FW7MnuXUTUskaThyCBckjRsrG5p4zMl/cD//mVTa1soScOSQbgkaVgo9AN/0X7gkgYAg3BJ0rDwC/uBSxpADMIlSUNe6Xjg9gOXVGsG4ZKkIa20H/jRe9gPXFLtGYRLkoascv3A/+tE+4FLqj2DcEnSkFXaD/zzJ9sPXNLAYBAuSRqSyvUDP2Ca/cAlDQxVC8Ij4mUR8ZuIeCEi1kXEgxHxvpI8ERHnRMQzEbExIh6JiHd1sb3TIuLePN/CiDg/IkaWybdfRFyf73NVRFweEdP763VKkmrPfuCSBrqqBOERsTtwKzAN+ADwJuAO4DsR8eGirOcCXwC+B5wEXA/8KCLOLtne8cA1wBzglHydD+TrFefbBbgdmAD8HfAe4GXALRHR1IcvUZI0QKSU+Pzv7QcuaWCrVse404FxwFtTSvPytJsj4mDgLOB/I2Iy8HHgwpTS+Xme2yJiJnB+RFyWUmrL0y8A7kopnZ3P3xIRCfh2RHw5pTQnTz8HaAZOSyktB4iIR8mC9/cAF/XXC5Yk1cYvH1rKn+Zt6Qf+uZNn2Q9c0oBTre4oI/LpmpL01UVlOAkYCVxWkucnwM7AEQARMQM4tEy+nwHtZAF/wenADYUAHCClNBe4l6w1XpI0hKzY0Mp3/7yoc/79r9qVA6eNrmGJJKm8ajUNXA78J/D1iPhPsuD7jcDrgX/J8xwAtAGPl6z7cD6dDdyZ5ytOByCltCYiFuT5iIhmYE/g0jLleZgs6O/R3LlzK8nWp1paWmq278HEeqqM9VQZ66kyA72eLn2klfWbOwDYa1xw4IilzJ27rOrlGOj1NFBYTz2zjipTy3qaNm3adq1XlSA8pfR8RBwJXA08mye3AR9MKRWC5InA6pRSR8nqK4qWF09XltnViqLlE4CoIJ8kaQiYv6aDOxdlXyEB/MO+DdTZD1zSAFWVIDy/MPMasgD8Y8B64DTgmxGxMaX0Y7JzZqpkc/m0p7yV5uvW7Nmzd2T17VL4FVeLfQ8m1lNlrKfKWE+VGaj11JESX7vyCRLZxZhvmD2JU4/cvWblGaj1NNBYTz2zjiozGOupWt1Rzifr7/2GlNLmPO2WiJgAfC0iLgOWA+Mioq6kNbzQYl1oEV9ekk5J3ieK8qdu8q0oky5JGoRufGwFDy9eD8DoEfX8v6MciVbSwFatCzNfBswpCsAL7gHGArsCc4FGYJ+SPIWfNHNLplv91ImIscDMwvKUUgswrzRf0bp2rpKkIWD95na+/actF2O++4hpTNypsYYlkqSeVSsIfwE4qMzNdA4HWoElwO+AzcA7S/KclS+/CyCltAC4H3hHSb63A/XAtUVp1wAn5y3uAETE/sBh+TJJ0iB36d9eYNn6rBvKrIlNvOWgKTUukST1rFrdUS4CrgSui4iLgA3AqcA/At9KKW0ANkTEhcDHImItWdB9KvlNdorGCAf4BHBDRPyYbAjDfYEvAZellB4qynchWVB/XUScBzQBXwSeBH7Qb69WklQVC1Zu5Bf3L+mc//BrZtBQ78WYkga+ao2O8suIOIXsZjzfJwuGnwY+CHynKOtngLXA+4DPAc+QBeA/LNneTRFxBtkdNm8g6999cb5+cb7FEXEs8FXgCrJxxG8EPpJ3V5EkDWJfu+N52jqy6++P2Wscr9x9bI1LJEmVqdotxFJKN5AFzN3l6SC7G+YFFWzvWrbuetJVvkeocExwSdLg8ed5q/nz/OwecCPqgw++ekaNSyRJlatWn3BJkvpMa3sHX7vj+c75t798Z6aPK73sSJIGLoNwSdKg838PLGXBqk0ATB3dyFmH7VzjEklS7xiES5IGlWXrW/nxXxd3zv/bq3elubG+hiWSpN4zCJckDSrf+dNCNrRm93Q7ZNfRHLf3hB7WkKSBxyBckjRoPLx4Pdc/mt3wuC7gw8fMIMIhCSUNPgbhkqRBoSMlvnrbgs75Nx0wmX2m7FTDEknS9jMIlyQNCtc9spxHl2wAYMzIet575PQal0iStp9BuCRpwFu3qZ3v/GlR5/x7j5zOuOaq3epCkvqcQbgkacD70V8Xs7KlDYC9JjXxpgMn17hEkrRjDMIlSQPa/BUtXPHgks75jxw7k4Y6L8aUNLgZhEuSBrRv/2kR7dmIhBy393gOnTGmtgWSpD5gEC5JGrCeWrqBPz6zGoDG+uBfj55R4xJJUt8wCJckDViX3vNi5/M3vHQSu4wdUcPSSFLfMQiXJA1Iz67cyB+eWAlAfR2887Cda1wiSeo7BuGSpAHpJ3e/QMqfn7TfJKaNHVnT8khSXzIIlyQNOItWb+LGx7bcnv4sW8ElDTEG4ZKkAeen97xIe94MftzeE9htQlNtCyRJfcwgXJI0oCxZt5nrHl3eOf9Pr9ilhqWRpP5hEC5JGlB+fu8SWvNm8NfsNY69JjfXuESS1PcMwiVJA8aKDa1c/fDSzvmzbQWXNEQZhEuSBozL71/CprasFfyI3cey/86jalwiSeofBuGSpAFh9cY2fvVgUSv4K20FlzR0GYRLkgaEXz6wlA2tHQAcOmM0B08fXeMSSVL/MQiXJNXc+s3t/N8DSzrn7QsuaagzCJck1dxVDy1l7aZ2AGbvshOHzRxT4xJJUv8yCJck1dTG1g5+fl9xK/g0IqKGJZKk/mcQLkmqqWvnLmNlSxsAe09u5lV7jK1xiSSp/xmES5JqZnNbB5fd+2Ln/Nmv3MVWcEnDgkG4JKlmrn90BUvXtQIwa2ITx75kfG0LJElVYhAuSaqJto7ET+95oXP+n16xM3W2gksaJgzCJUk18fvHV7BozWYAdh03guP3mVjjEklS9RiES5Kqrr0jcendW1rB//GwXWiosxVc0vBhEC5Jqrrbnl7Fsys3ATB1dCMn72cruKThxSBcklRVKSUu+duWVvB3vnxnRjT4dSRpePGsJ0mqqjvnreapZS0ATGhu4A0HTK5xiSSp+gzCJUlV9dN7towL/vaX70yTreCShiHPfJKkqnn0xfXMWbwegNEj6jnjQFvBJQ1PBuGSpKq58sGlnc/fcMAkRo2or2FpJKl2DMIlSVWxYkMrNz+xEoAA3nLQlNoWSJJqyCBcklQV1zy8jNb2BMCr9xzH9HEja1wiSaodg3BJUr9ra0/8+qFlnfNvPWRqDUsjSbVnEC5J6ne3PrWSZetbAdhzUhMvnzG6xiWSpNoyCJck9bsrii7IfMvBU4jwFvWShjeDcElSv3rkhfU8nA9LOGZkPSd5i3pJqm4QHhEnRsStEbEmItZFxIMRcWbR8oiIcyLimYjYGBGPRMS7utjWaRFxb55vYUScHxHbXOUTEftFxPX5/lZFxOURMb0/X6ckaYuthiWcPYnmRocllKSqBeER8W7gemAO8BbgDOASoLko27nAF4DvASfl+X8UEWeXbOt44Jp8W6fk63wgX6843y7A7cAE4O+A9wAvA26JiKY+fHmSpDJWrN8yLGFdZF1RJEnQUI2dRMRuwDeBj6eUvlK06PdFeSYDHwcuTCmdnyffFhEzgfMj4rKUUluefgFwV0rp7Hz+lohIwLcj4ssppTl5+jlkQf5pKaXl+X4eJQve3wNc1NevVZK0xdUPL6OtIxuW8Og9xzFtrMMSShJUryX83UACvtVNnpOAkcBlJek/AXYGjgCIiBnAoWXy/QxoB04vSjsduKEQgAOklOYC9wJv6u2LkCRVrrW9g6vmbBmW8G0HOyyhJBVUKwh/NfAY8LaIeDIi2iJifkR8MiIKZTgAaAMeL1n34Xw6uyhfcToAKaU1wIJCvohoBvYszVe07uwy6ZKkPnLrU6u2GpbwUIcllKROVemOAkzPH/8LfIos0D6NrC/3OOATwERgdUqpo2TdFfl0Ysl0ZZn9rChaPoHszsg95evW3LlzK8nWp1paWmq278HEeqqM9VQZ66kyvamnS+/e3Pn86KltPPLII/1WroHG46ky1lPPrKPK1LKepk2btl3rVSsIrwPGAG9NKf0yT7s1IiYBH4qI88gC5lTBtgqDy/aUt9J8kqQ+9szqDp5ZnZ1+d2qAw3dxRFxJKlatIHw5sDdwY0n6jcA/AS/N84yLiLqS1vBCi3WhRXx5SToleZ8oyp+6ybeiTPo2Zs+ufq+Vwq+4Wux7MLGeKmM9VcZ6qkyl9fTLG+dTOM2ecfBUDj1oRj+XbGDxeKqM9dQz66gyg7GeqtU0MaeL9EJrdQcwF2gE9inJU6jNuSXTrWo5IsYCMwvLU0otwLzSfEXr+r+OJPWD5SXDEr75IIcllKRS1QrCr8qnp5SknwysJwuIfwdsBt5ZkucsYAlwF0BKaQFwP/COknxvB+qBa4vSrgFOjogJhYSI2B84LF8mSepjxcMSvtphCSWprKp0R0kp3RARvwcujogpZCOlnEYWSH8qb7VuiYgLgY9FxFqyoPtU8pvsFI0RDtmFnDdExI/JhjDcF/gScFlK6aGifBeSBfXX5f3Om4AvAk8CP+i/VyxJw1NrewdXPbTlDplvO8RhCSWpnGr1CQc4EziPbHSUScDTwPtTShcX5fkMsBZ4H/A54BmyAPyHxRtKKd0UEWeQ3WHzBrKOhxfn6xfnWxwRxwJfBa4gG0f8RuAjeeAvSepDtzy5iuUbsjaTvSY18bJdHZZQksqpWhCeUloHfCh/dJWng+xumBdUsL1r2brrSVf5HiG7EZAkqZ9d+eCSzudvO2QqEdFNbkkavhwzSpLUJ+a+sJ65L2wAYGxTPSfuW9HtGCRpWDIIlyT1iSsf2NIKfvrsyTQ1+hUjSV3xDClJ2mHL1rfyhydXAdmwhGccNLm2BZKkAc4gXJK0w66es7RzWMLX7DneYQklqQcG4ZKkHdLa3sFVc5Z1zr/1EG/OI0k9MQiXJO2QW55cxYp8WMKXTG52WEJJqoBBuCRphxQPS/jWg6c4LKEkVcAgXJK03R57ccPWwxLu57CEklQJg3BJ0nb79Zwtt6g/9aWTaGrwa0WSKuHZUpK0XdZuauOmx1d0zp9xoMMSSlKlDMIlSdvl+kdWsKktG5bw8N3GMHN8U41LJEmDh0G4JKnXUkpbdUU58yCHJZSk3jAIlyT12r3Pr+O5lZsAmDq6kaP2GFfjEknS4GIQLknqtV8/tKUV/E0HTqahzmEJJak3DMIlSb2yalPijqdXAVBfB2+c7QWZktRbBuGSpF7548J22rPrMTl2r/FMGtVY2wJJ0iBkEC5Jqlh7R+KOhe2d816QKUnbxyBcklSxB5d1kF+PyayJTbxs19G1LZAkDVIG4ZKkit36fFEr+IGTifCCTEnaHgbhkqSKPLdyI4+uyDqDNzXUcfL+k2pcIkkavAzCJUkVuWrOss7nr99vAqNH1tewNJI0uBmES5J6tLG1g+seWd45f8aBXpApSTvCIFyS1KObn1jJ2k1Zf/A9xwX7Tt2pxiWSpMHNIFyS1KNfz9lyh8xjd7UbiiTtKINwSVK3Hn1xPY++uAGAUY3wip396pCkHeWZVJLUrV8/tOWCzKOn19NY77CEkrSjDMIlSV1as7GN3z+xonP+GLuiSFKfMAiXJHXp+kdXsKktGxv88N3HMnUnW8ElqS8YhEuSykopcdVDWy7IfPNBk2tYGkkaWgzCJUll3bNgLc+t2gTAzqMbOWrWuBqXSJKGDoNwSVJZxXfIfNOBk6mvsyuKJPUVg3BJ0jaWrNvMHU+vAqC+Dt4w264oktSXDMIlSdv4zcPLac+ux+S1L5nApFGNtS2QJA0xBuGSpK20tSeufnhLV5QzDrQVXJL6mkG4JGkrd85bxbL1rQDsMbGJl+06usYlkqShxyBckrSVXxXdIfOMgyYT4QWZktTXDMIlSZ3mLW/hngVrAWhqqOPk/SbVuESSNDQZhEuSOv3ywS035zll/4mMHult6iWpPxiES5IAWLupjesfXdE5/5aDp9SwNJI0tBmES5IA+O3c5Wxs6wDglbuNYY9JzTUukSQNXQbhkiTaO9JWXVHeevDUGpZGkoY+g3BJEn+ev5pFazYDsOu4ERw5a2yNSyRJQ5tBuCSJKx/Y0gr+5oOmUF/nsISS1J8MwiVpmJu3vIW782EJmxvrOG22wxJKUn8zCJekYe7Kor7gJ+8/kTEjG2pYGkkaHmoWhEfEjyIiRcTlJekREedExDMRsTEiHomId3WxjdMi4t4838KIOD8iRpbJt19EXB8R6yJiVURcHhHT++u1SdJgsWZjGzcUDUv4VocllKSqqEkQHhHHAm8D1pRZfC7wBeB7wEnA9cCPIuLskm0cD1wDzAFOydf5QL5ecb5dgNuBCcDfAe8BXgbcEhFNffOKJGlw+u0jW4YlPHy3Mcya6LCEklQNVf/PMW+p/i7weeD/K1k2Gfg4cGFK6fw8+baImAmcHxGXpZTa8vQLgLtSSmfn87dERAK+HRFfTinNydPPAZqB01JKy/P9PEoWvL8HuKg/XqckDXTbDEt4iMMSSlK11KIl/NNAK/DVMstOAkYCl5Wk/wTYGTgCICJmAIeWyfczoB04vSjtdOCGQgAOkFKaC9wLvGl7X4QkDXZ/mreaxZ3DEo50WEJJqqKqtoRHxGzgP4DjU0qtEdsMgXUA0AY8XpL+cD6dDdyZ5ytOByCltCYiFuT5iIhmYE/g0jLFeZgs6O/W3Llze8rS51paWmq278HEeqqM9VSZ4VhPP753c+fzo3du49FHHulxneFYT9vDeqqM9dQz66gytaynadOmbdd6VWsJjyzi/j7ws5TSnV1kmwisTil1lKSvKFpePF1ZZhsripZPAKKCfJI0rCxc18FjKxMAI+vhVdPra1wiSRpeqtkS/n5gb+AN3eQJIFWwrUITek95K83XpdmzZ2/vqtut8CuuFvseTKynylhPlRlu9fTbPzwHLAPgtNlTeMXBMytab7jV0/aynipjPfXMOqrMYKynqrSE5xdcfhE4D2iPiPERMT7ff2M+3wgsB8ZFRGm5Ci3WhRbx5SXppXkL+VaQBeA95ZOkYWPNxjZueKzzMhne4rCEklR11eqOMgMYC3yNrGtI4TETODN//mZgLtAI7FOyfuFnzdyS6VY/dyJibL7NuQAppRZgXmm+onXtYCVp2PnN3OVsasv+IDx897HMmuhorZJUbdUKwp8CXlvm8SJwa/78FuB3wGbgnSXrnwUsAe4CSCktAO4H3lGS7+1APXBtUdo1wMkRMaGQEBH7A4flyyRp2CgdlvBttoJLUk1UpU94SmkdcFtpekRsBJaklG4rSrsQ+FhErCULuk8lv8lO0RjhAJ8AboiIH5MNYbgv8CXgspTSQ0X5LiQL6q+LiPOAJrKuMU8CP+ir1yhJg8Gd81bzwtpsVJQZ40ZyhMMSSlJNVP1mPRX4DLAWeB/wOeAZsgD8h8WZUko3RcQZZHfYvIGsf/fF+frF+Rbnd+j8KnAF2TjiNwIfyburSNKwceUDSzqfv+XgKdRtO1SsJKkKahqEp5RmlUnrILsb5gUVrH8tW3c96SrfI1QwJrgkDWVPL2vh3ufXAbBTYx2nvnRSjUskScNXLe6YKUmqgSuL+oKf8tJJjB7p2OCSVCsG4ZI0DKze2MbvHJZQkgYMg3BJGgaKhyU8Yvex7D7BYQklqZYMwiVpiGvrSPyqeFjCQ2wFl6RaMwiXpCHuzme2DEs4c/xIDt/dYQklqdYMwiVpiLvyQYcllKSBxiBckoawuS+s577iYQn3d1hCSRoIDMIlaQi75G8vdD4//cDJjHJYQkkaEAzCJWmIenLpBu6ctxqAEfXB2w/ducYlkiQVGIRL0hB16d1bWsHfMHsyk0c11rA0kqRiBuGSNATNX7GRW55cBUB9Hbzz5baCS9JAYhAuSUPQT+55gZQ/P2X/SewydkRNyyNJ2ppBuCQNMQtXb+Kmx1YAUBfwj4fZCi5JA41BuCQNMT+950Xa82bw4/eZwMzx3qJekgYag3BJGkKWrN3MdY8s75z/p1fsUsPSSJK6YhAuSUPIz+57kbaOrBn82L3Gs+ek5hqXSJJUjkG4JA0RK9a3cs3Dyzrnz36lreCSNFAZhEvSEHH5/UvY1Ja1gh81ayz7Tt2pxiWSJHXFIFyShoDVG9v41UNLO+dtBZekgc0gXJKGgCsfWMKG1g4AXj5jNAdOG13jEkmSumMQLkmD3PpN7VzxQHEr+LQalkaSVAmDcEka5H49ZylrN7UDcMC0Ubx8hq3gkjTQGYRL0iC2sbWDX9y3pHP+Xa/YhYioYYkkSZUwCJekQeyah5exsqUNgH2mNHPkrLE1LpEkqRIG4ZI0SG1u6+Cye1/snH/XK20Fl6TBwiBckgap6x5dzrL1rQDsMbGJ1+w1vrYFkiRVzCBckgahtvbET+/Z0gr+T6/YhTpbwSVp0DAIl6RB6KYnVrB4zWYAdh03kuP2mVDjEkmSesMgXJIGmfaOxKV3v9A5f9ZhO9NQZyu4JA0mBuGSNMjc+tQqnlu5CYCdRzdy8v4Ta1wiSVJvGYRL0iDSkbZuBX/nYbvQWO+pXJIGG8/ckjSIXPfIcp5a1gLAxJ0aOG32pBqXSJK0PQzCJWmQWLupje/8aVHn/D+/chpNDZ7GJWkw8uwtSYPEj/76QufdMV8yuZk3HTi5xiWSJG0vg3BJGgTmr2jhygeXdM5/+JgZ1DsiiiQNWgbhkjTApZT42u3P096RzR+/zwQOnTGmtoWSJO0Qg3BJGuD++Mxq/vrcWgBGNgT/evSuNS6RJGlHGYRL0gC2qa2Dr9/xfOf8WYftws5jRtSwRJKkvmAQLkkD2C/uW8Ki/Pb008aO4O0v37nGJZIk9QWDcEkaoJas3bzVjXk++OoZDkkoSUOEZ3NJGqAuunMhG9uyqzEPmzmGY/YaV+MSSZL6ikG4JA1ADyxcx++fWAlAfWRDEkY4JKEkDRUG4ZI0wLR3JL56+4LO+TcfPIU9JzXXsESSpL5mEC5JA8y1c5fx5NIWAMY3N/CeI6bVuESSpL5mEC5JA8jqjW1898+LOuffd9R0xoxsqGGJJEn9oSpBeES8OSKuiIh5EdESEU9FxDcjYkpJvoiIcyLimYjYGBGPRMS7utjmaRFxb55vYUScHxEjy+TbLyKuj4h1EbEqIi6PiOn99VolaUf84K7FrN7YDsC+U5s57aWTalwiSVJ/qFZL+DlAA/AZ4CTgQuDNwF0RUXzv5XOBLwDfy/NdD/woIs4u3lhEHA9cA8wBTsnX+UC+XnG+XYDbgQnA3wHvAV4G3BIRTX35AiVpRz21rIWrHlraOf/hY2ZSX+fFmJI0FFXrP843pJSWFs3fHhGPkgXIfw98PyImAx8HLkwpnZ/nuy0iZgLnR8RlKaW2PP0C4K6U0tn5/C0RkYBvR8SXU0pz8vRzgGbgtJTScoB8v3PIAvKL+uXVSlIvpZT42u0LaE/Z/Ov3ncDB00fXtlCSpH5TlZbwkgC84J58OiOfngSMBC4ryfcTYGfgCICImAEcWibfz4B24PSitNOBGwoBeF6WucC9wJt6+zokqb/c+tQq7n1+HQDNjXW8/+hda1wiSVJ/quXVPsfm07n59ACgDXi8JN/D+XQ2cGeerzgdgJTSmohYkOcjIpqBPYFLy+z7YbKgv0dz587tOVMfa2lpqdm+BxPrqTLWU2VqWU+b2hNf+cvmzvmTdw+WPvsk5Vovas3jqTLWU2Wsp55ZR5WpZT1Nm7Z9I1jVZHSUiBgHfB14DLgqT54IrE4pdZRkX1G0vHi6ssymVxQtnwBEBfkkqaZufLadFRuz51Oa4YTd6mtbIElSv6t6S3g+gsmvgKnAq1NKrYVFQKpkE/m0p7yV5uvW7Nmzd2T17VL4FVeLfQ8m1lNlrKfK1Kqenlnewu9ufaxz/pzj9+SQPcdXtQy94fFUGeupMtZTz6yjygzGeqpqS3hENABXAEeRXaz5UNHi5cC4iCgtU6HFekVRvuL00ryFfCvIAvCe8klSTbS0tvNf189jc3415hG7j+XoPcbVuFSSpGqoWhAeEfVkF0+eBJyZUrqjJMtcoBHYpyR9dtHy4ulWP3UiYiwws7A8pdQCzCvNV7Sunask1dRXbl3AvLwfyvjmBj553G5EOCShJA0H1bpZTx1wCXAm8Pcppd+VyfY7YDPwzpL0s4AlwF0AKaUFwP3AO0ryvR2oB64tSrsGODkiJhSVZX/gsHyZJNXEdY8s57pHt/wh95kTd2fqmBE1LJEkqZqq1Sf8m2TB9deAxRFxRNGypSmlp1NKSyPiQuBjEbGWLOg+lfwmO0VjhAN8ArghIn5MNoThvsCXgMtKurhcmO/3uog4D2gCvgg8CfygH16nJPXomeUtXHjrc53zZx22M0fOshuKJA0n1QrCT82nH8ofxS4Fzs6ffwZYC7wP+BzwDFkA/sPiFVJKN0XEGWR32LyBrH/3xfn6xfkWR8SxwFfJ+qK3AzcCH8m7q0hSVRX6gW9qy/qBHzx9FP9y5PQal0qSVG1VCcJTSrMqzNdBdjfMCyrIey1bdz3pKt8jVDgmuCT1t9J+4J87aQ8avDW9JA07NRknXJKGI/uBS5IKDMIlqQpK+4H/o/3AJWlYMwiXpH5W2g/8oGmjeK/9wCVpWDMIl6R+VtwPfFxTPZ8/2X7gkjTcGYRLUj8q7Qf+36+fZT9wSZJBuCT1l3nLW/jyrQs65+0HLkkqMAiXpH7Q0trOp66fx8a2DsB+4JKkrRmES1I/+Mptz9sPXJLUJYNwSepj1z2ynOseWd45bz9wSVIpg3BJ6kP3L1zreOCSpB4ZhEtSH7nv+bV85OqnHQ9cktQjg3BJ6gP3Pb+Wj17zdOeFmLtPGMkXT93TfuCSpLIaal0ASRrs7l2wlo9e+1RnC/isiU1cdObeTBrVWOOSSZIGKlvCJWkH3FMSgO8xsYlvGYBLknpgS7gkbae7n1vDf1z7NJvbtwTgF525NxMNwCVJPbAlXJK2w99KAvA9JzVx0ZsNwCVJlbElXJJ66a/PruFjvykJwM/cmwk7GYBLkipjS7gk9cJdJQH4XgbgkqTtYEu4JFXoL/NX84nfPtMZgL9kcjPfPHNvxjd7KpUk9Y4t4ZJUgdIAfG8DcEnSDvDbQ5J68Od5q/nEdc/QWgjApzTzzTP2ZpwBuCRpO/kNIkld6EiJn9+3hO/+eRFtHVkAvs+UZr5hAC5J2kF+i0hSGUvWbebzNz3LPQvWdqbtO7WZr5+xN+OaPHVKknaM3ySSVOKOp1fxxZufZfXG9s60o2aN5b9fP4uxBuCSpD7gt4kk5Ta1Jy74w3Nc/fCyzrQR9cG/vXoGbz5oMhFRw9JJkoYSg3BJAp5b08H3Hm7jhQ1bAvC9JjXxuZP3YM9JzTUsmSRpKDIIlzSsdaTE/92/hG/d3Uo++AkAbztkCu9/1a6MbHAkV0lS3zMIlzRsLVvfynk3zeevz225+HJCcwOfPnF3jpw1roYlkyQNdQbhkoalPz6zii/e/ByrWto60w6YVMcFZ+zPxFHegl6S1L8MwiUNKys3tPL9uxZz1ZytL7588171vG5mnQG4JKkqDMIlDQurWtr4+b0v8suHltLS2tGZvuekJj570h5sevGZGpZOkjTcGIRLGtJWt7Txs/te5JcPbh18A7zl4Cl84OhdaWqoY+6LNSqgJGlYMgiXNCSt3tjGL+57kSsfWMqGkuD7lbuN4d2HT+Og6aNrVDpJ0nBnEC5pSFm9sY3L71vCFQ8uYcPmrYPvw2aO4T2HT+PgXQ2+JUm1ZRAuaUhYs7GNy+9fwhUPLGF9SfD98hljeM8R0zjE4FuSNEAYhEsa1Bas2sj1j6zgyge3Db4PnTGadx8+jUNnjKlR6SRJKs8gXNKgs2TdZv7wxEp+//hKHl2yYZvlh+w6mn85wuBbkjRwGYRLGhRWtbRxy5MrufmJlTywcB2pTJ5Dpo/mPUdM49AZo4mIqpdRkqRKGYRLGrDWb27njqdX8fvHV/K3BWto79g2z5iR9bxu7/GctN8kDp4+yuBbkjQoGIRLGlBWbGjl/oXr+MMTK/nTvNVsbt+2zbu5sY5X7zmOE/aZyOG7j6Gxvq4GJZUkafsZhEuqmZQSC1dv5sFF67LHwnU8t2pT2byN9cGRs8Zywj4TOXqPcTQ1GnhLkgYvg3BJVdPekXhqWQsPLVrHA4vW8dCi9Sxb39pl/rqAV8wcw/H7TOSYl4xjzEhPWZKkocFvNEn9orW9g+dXbWL+io08s2IjcxavZ87iddvcQKfUhOYGDpo+ilfMHMtr9x7PxJ0aq1RiSZKqxyBc0g7ZsLmdZ1duZP6K/JE/X7h6U9kLKUvtOm4EB08fnT12Hc1u40d6caUkacgbFkF4RIwDLgDOBEYD9wIfSyn9paYFkwaBTW0dLFvfypJ1m1m6rpUl61pZsnYzz+XB9ovruu5OUiqAl0xp5pDpozlo+mgOnj6KKaNH9F/hJUkaoIZ8EB5Zk9o1wL7AR4EXgA8DN0fEK1NKc2tZPqkWUkqs39zBmo1trN7YxuqN7SwtCrILz5eub2VVS9t27WOnxjp2n9DE7hObmDWxiX2mNHPgtNGMHlnfx69GkqTBZ8gH4cBpwDHAiSml3wNExB+Bx4HPAm+pYdmk7dLa3sGG1g42bG6npbWDltYO1nc+b2f9pg7WbsqC6+deaGVdK6S5j7N6YxtrN7azZmMbZUb+2y4TmhuyQHtCFmwXHlNHN9qtRJKkLgyHIPx04MVCAA6QUtoYEVcA/xoRjSmlyv9P15CXUqI9QUdHoj0l2jvIp4mOlI3w0V68LH/e1p5ozZe1tifaiqZtHR20tZOldXTQ1p7Y1JbY3N6RPdoSm9o62NxemG6b1tLawYbWLNBu3a4Iev121cfEnRqYMrqRqaNHMGVUI1NGj2DK6EZmjBvJrIlNjGseDqcRSZL61nD49jwAKNfl5GGgCdiTrFV8QPjGHc/z2PPZb4Kx857uTO825ErdzpK2WZ66Xb7N5tPW200lC1JX+dLWe0upeN1sSfE6qSgtdebpIi0lWjZuBqDx3rmdyzvyTB0p315KdOTb7khZekfKttdemHZkZezIg+w+aiAe0EaNqGNcUwNjmxoY21TPuKYGJo1qZOroRqaMzgLtqaMbmTyq0RvhSJLUDyL1FIENchHxBPBQSuktJelvAK4FjuruAs2bb765qhX02bs2s2Dd0H5PtP0CGFmfPZoaIpvWw8j6YGRD9rypPksf1QijGoPGtJlRDTBx9EhGNQY7NUBDnd1ESrW0tADQ3Nxc45IMbNZTZaynylhPPbOOKlPLejr++OO360t1OLSEB8OjcVMVCrKbwAQQseV5XWTzhef1+Xx9QF0EdbElvfC8rpC3DuojaOh8Dg1bTWOb9Ma67C6QjXXZ8xF10FgXNNRBY/22aU0NWVpdL/tZ5+clmptt0ZYkaaAYDkH4cmBimfRC2oruVp49e3afF6g7n5+ygUefzLqh7DFrj8pXjG5nKY3boihHVzFdcXIhT2G9bbYXW68TRQuiTJ4t60fn87p8YeRpwdb7LaSRT5984gkiYP/99isKnqPs8ygKpIfbxYJz52a9sap9LA821lNlrKfKWE+VsZ56Zh1VZjDW03AIwucCp5ZJnw1sBJ6pbnG6t+/UnWhbmrVYzt51dI1LM7AtGZkF0+O9MFCSJA0yw+H/6WuAnSPi+EJCRIwE3gZc78gokiRJqrbhEIT/Bvgj8JOIeEcejP8KmAqcW8uCSZIkaXga8kF4yoZ/eSPwW+DrZEH5eOCElNKcGhZNkiRJw9Sw6EybUloFvDd/SJIkSTU15FvCJUmSpIHGIFySJEmqMoNwSZIkqcoMwiVJkqQqMwiXJEmSqswgXJIkSaoyg3BJkiSpyiK7l40kSZKkarElXJIkSaoyg3BJkiSpygzCJUmSpCozCJckSZKqzCBckiRJqjKDcEmSJKnKDMIlSZKkKjMIr5KI+FFEpIi4vCQ9IuKciHgmIjZGxCMR8a5ebPeIiPhjRGyIiCUR8d2IGNf3r6D/laujiDgsIi7O62V9RCyMiKsi4oAKt3lJvs3Sxy/775X0r26OpXKvM0XEaRVud8gcS9Dl8XR2N/WUIuKIHrY56I+niDi2m9c/uijfsD43VVJPnp96dTwN6/NThcfTsD8/FUTEiRFxa0SsiYh1EfFgRJxZtHxInJ8aqr3D4SgijgXeBqwps/hc4JPAZ4C7gNOAH0VESild0sN2ZwN/AG4DTgd2AS4E9omI16VBdCemburo74FDgO8Ac4DJwMeAuyPi6JTSvRVsfgVwakna8h0obs30cCwB/BT4dknaYxVsd8gcS9BtPV0HHFlmlcuAnYC7K9j8UDmePkx2zim2oej5uXhugu7ryfPTFj0dT+D5CbqvJ89PQES8G/gu2bHyP0ACDgCai7Kdy1A4P6WUfPTjAxgJPA58HJgPXF60bDKwEfhCyTr/B7wANPSw7V8BzwAji9JOJjtgT6v1a++jOppSJv84YCXwswq2fQnwQq1fY3/XU748Aedv57aHxLFUST2Vyb9f/jovGA7HE3Bs/npP6ibPsD83VVhPw/78VEk95fmG9fmp0noqs95wOz/tRvaj5KPd5Bky5ye7o/S/TwOtwFfLLDuJLGC4rCT9J8DOQJd/PUVEI3AKcGVKaVPRot8BS4E3bX+Rq67LOkopLS2Tthp4EpjR/0UbULo7lrbbEDuWoPf1dHY+vaQ/CjNIeW6qgOen/jecjqcunJ1PL6lhGarp3WTB8Le6yTNkzk8G4f0o/8vjP4D3pZRay2Q5AGgja7Ur9nA+nd3N5vcCmoryApCyn3Rze1h3wKigjsqtM4ms7uZWuJtJEbE0Itoj4umIODciRmxnkWuiF/X0L3n/uJa8v9vrK9j8kDiWoPfHU0TUA/8I3JVSerTC3Qz64yl3aUS0RcTKiPhlROxTtGzYn5uKdFdP2xiO56dcJfU0rM9PuYqPp2F6fno1WRelt0XEk3ldzY+IT0ZEIWYdMucn+4T3k4gI4Ptkf0ne2UW2icDqlFJHSfqKouVdKSxbWWbZCrKDdECrsI7K+Q4QwP9WkPcB4H6yD9wIsr+c/gs4FHhjb8pbK72op5+R9SlcQNYK9+/ADRHx1pTSr7pZb9AfS7Ddx9OJwHTgcxXmf4BBfjwBq8k+O7cBq8je3/8E7oqIV6SUnmaYn5tyldRTOcPq/ETl9TSsz09s3/E0HM9P0/PH/wKfIgu0TwO+QNbV6xMMofOTQXj/eT+wN/CGbvIE2d8u2yPy6WC6IKVUJXW0lYj4PPBW4J9TSk/2lD+l9LWSpBsiYjHwxYh4dUrpj70ob61UVE8ppXcWz0fEr4F7gC+R9YHrylA4lmA7jifgXWR9Cy/vKSMMjeMppXQ/2Rd1wR0RcSPwEFlQ8G48N1VaT1sZjuenSutpuJ+ftud4Yhien8h6aIwB3ppSKozqcmv+D9OHIuI8htD5ye4o/SAiJgNfBM4D2iNifESMJ6vvxny+keyK5XFFf7EUFH6praBrhaudy/3im9jDujXXizoqXudjZL/qz0kp/XgHdv+zfNrtcE8DwfbUU0FKaTPwS2DPiJjSzW4G9bEE2308TSBrHboq78e7vQbN8dSVvBXur2x5DcP23NSdMvXUaTien7rSXT0V5Rk256eu9HA8DdfzU+H9vrEk/UayfuAvZQidnwzC+8cMYCzwNbK/PAqPmcCZ+fM3k/U/agRK+4QV+iR116fwabJfyOX6L720h3UHgkrrCICI+CBwAfC5lNKXd3DfA+qXcA96VU9lVPJaB/uxBNtXT28nO6nvSMAEg+t46k5x69JwPjf1ZJtWuGF8fupOJa2Vw+X81J2u6mm4np/mdJFeeB0dDKHzk0F4/3gKeG2Zx4vArfnzW8iuxt0MvLNk/bOAJWw7lmin/KKzG4C3Fl90EREnAVOBa/rotfSXSuuIiHgvWXD1lZTSf/fBvv8xn3ZZvwNIxfVUKiJGkv01/nRKaVlXOxgCxxJsXz2dTdY/9Q87uO/BdDyVFRF7A4ez5TUM53NTl8rU03A/P5VVrp7K5BlO56eyeqinsxme56er8ukpJeknA+vJguShc36q5niIw/1B+bGdzyM7mD4OHEPWPy4B7y7JdxswvyTtQLLxNH8DHE92QC4G7gCi1q+3L+qI7IYr7cDtZH+nFT9e1l0dAbvn670POIHs4o5vk11V/atav9Y+rqf/AL5HdvOQY/Nj4W953b1pOB5L5eqpKH12/jk7r5t1h+TxRPb39OeBM8h+nHwQWAQsA/Yoyjesz02V1JPnp4rradifnyr93OV5h+35KX8tN5H9e/mv+fv9NbIW8E8W5RkS56eaV/ZwelA+CK/LD6J5wCbg0dKDqKsDKU9/FXAn0JJ/mL8PjK/1a+2rOiIbGzV18Zhfsm7pSWkC2a/q+Xn9bCS7COYcehjMf6A/ytTTG4A/ko1z2krWr+0G4JjheiyVq6ei9C/nx9BLull3SB5PZKMLPEA2QkMrsDD/nM0qyTesz02V1JPnp4rradifnyr93OV5h+35KX8to8kC78VkgfajZMPOFucZEuenyAsjSZIkqUrsEy5JkiRVmUG4JEmSVGUG4ZIkSVKVGYRLkiRJVWYQLkmSJFWZQbgkSZJUZQbhkiRJUpUZhEuSJElVZhAuSZIkVZlBuCRJklRlBuGSJElSlRmES5IkSVVmEC5JkiRVmUG4JEmSVGUG4ZIkSVKV/f/fqwgOlAz0AgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "L = 10_000\n",
    "x0 = 50\n",
    "x = np.linspace(40, 60)\n",
    "y = L / (1 + np.exp(-(x - x0)))\n",
    "plt.plot(x, y)\n",
    "plt.title('Logistic Function - Scaled and Shifted');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "helpful-capitol",
   "metadata": {},
   "source": [
    "Allow for different growth rate (steepness)\n",
    "\n",
    "$$f(x) = \\frac{L}{1 + e^{-k(x - x_0)}}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "pretty-angola",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "L = 10_000\n",
    "x0 = 50\n",
    "k = 0.06\n",
    "x = np.linspace(0, 100, 50)\n",
    "y = L / (1 + np.exp(-k * (x - x0)))\n",
    "plt.plot(x, y)\n",
    "plt.title('Logistic Function - Scaled, Shfited, and Flattened');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "promising-promise",
   "metadata": {},
   "outputs": [],
   "source": [
    "def logistic(x, L, x0, k):\n",
    "    return L / (1 + np.exp(-k * (x - x0)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "dominican-clothing",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 200)\n",
    "y = logistic(x, 1_000_000, 120, .02)\n",
    "plt.plot(x, y);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "norwegian-manhattan",
   "metadata": {},
   "source": [
    "### Manually fit logistic function to data?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "prostate-photographer",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_texas = texas_cumulative_lowess\n",
    "def manual_fit(y, func, params):\n",
    "    n = len(y)\n",
    "    x = np.arange(n)\n",
    "    y_model = func(x, *params)\n",
    "    y_model = pd.Series(y_model, index=y.index)\n",
    "    y.plot(label='actual')\n",
    "    y_model.plot(label='model').legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "incorporate-fairy",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "params = 2_900_000, 50, .02\n",
    "manual_fit(y_texas, logistic, params)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "acceptable-reverse",
   "metadata": {},
   "source": [
    "### Scipy's optimize module\n",
    "\n",
    "* Use `least_squares` function - finds parameters that minimize squared residuals\n",
    "* Create optimization function that computes residuals\n",
    "* Must create bounds for parameters\n",
    "* Must have initial guess for parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "monthly-pilot",
   "metadata": {},
   "outputs": [],
   "source": [
    "def optimize_func(params, x, y, model):\n",
    "    y_pred = model(x, *params)\n",
    "    error = y - y_pred\n",
    "    return error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "psychological-surname",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   Iteration     Total nfev        Cost      Cost reduction    Step norm     Optimality   \n",
      "       0              1         3.9791e+13                                    5.68e+13    \n",
      "       1              2         9.1306e+12      3.07e+13       1.87e+05       1.84e+13    \n",
      "       2              3         1.4877e+12      7.64e+12       4.62e+04       4.59e+12    \n",
      "       3              4         6.5539e+11      8.32e+11       7.41e+04       2.42e+12    \n",
      "       4              5         3.9106e+11      2.64e+11       3.08e+05       6.10e+13    \n",
      "       5              6         2.3771e+11      1.53e+11       1.65e+05       7.23e+12    \n",
      "       6              7         2.0218e+11      3.55e+10       1.49e+05       6.46e+12    \n",
      "       7              8         1.8675e+11      1.54e+10       1.42e+05       4.61e+12    \n",
      "       8              9         1.8315e+11      3.60e+09       7.35e+04       9.38e+11    \n",
      "       9             10         1.8227e+11      8.77e+08       5.13e+04       3.84e+11    \n",
      "      10             11         1.8220e+11      6.99e+07       1.80e+04       1.84e+10    \n",
      "      11             12         1.8220e+11      5.06e+05       1.78e+03       1.79e+08    \n",
      "      12             13         1.8220e+11      2.66e+03       1.33e+02       2.60e+08    \n",
      "      13             14         1.8220e+11      3.36e+01       1.50e+01       1.49e+06    \n",
      "`ftol` termination condition is satisfied.\n",
      "Function evaluations 14, initial cost 3.9791e+13, final cost 1.8220e+11, first-order optimality 1.49e+06.\n"
     ]
    }
   ],
   "source": [
    "from scipy.optimize import least_squares\n",
    "\n",
    "# bounds for parameters L, x0, and k\n",
    "lower = y_texas.iloc[-1], 20, 0.01\n",
    "upper = 4_000_000, 150, 0.5\n",
    "bounds = lower, upper\n",
    "\n",
    "# initial guess for L, x0, and k\n",
    "p0 = 3_000_000, 50, 0.1\n",
    "\n",
    "# run with verbose\n",
    "y = y_texas.values\n",
    "x = np.arange(len(y))\n",
    "res = least_squares(optimize_func, p0, args=(x, y, logistic), bounds=bounds, verbose=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "automatic-tamil",
   "metadata": {},
   "source": [
    "Fitted parameters are in `x` attribute"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "acting-writing",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3.74982515e+06, 8.51780733e+01, 1.67854394e-02])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res.x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "parliamentary-beatles",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "manual_fit(y_texas, logistic, res.x)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "closing-distributor",
   "metadata": {},
   "source": [
    "## Generalized Logistic Function\n",
    "\n",
    "* [Asymmetric logistic function][0] - tail slowly trails off\n",
    "* Also allow for vertical shift\n",
    "\n",
    "\n",
    "$$f(x) = \\frac{L - s}{(1 + e^{-kx})^{\\frac{1}{v}}} + s$$\n",
    "\n",
    "[0]: https://en.wikipedia.org/wiki/Generalised_logistic_function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "rolled-wallace",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   Iteration     Total nfev        Cost      Cost reduction    Step norm     Optimality   \n",
      "       0              1         1.3272e+14                                    1.39e+14    \n",
      "       1              2         1.4973e+13      1.18e+14       1.18e+06       5.81e+13    \n",
      "       2              3         9.7572e+11      1.40e+13       3.58e+05       8.70e+12    \n",
      "       3              4         3.7214e+11      6.04e+11       1.37e+05       4.42e+13    \n",
      "       4              6         2.4231e+11      1.30e+11       3.91e+04       4.54e+13    \n",
      "       5              7         1.2702e+11      1.15e+11       7.94e+04       3.08e+13    \n",
      "       6              8         9.2395e+10      3.46e+10       1.48e+05       7.26e+13    \n",
      "       7              9         4.3163e+10      4.92e+10       5.06e+04       1.94e+12    \n",
      "       8             10         4.0073e+10      3.09e+09       7.31e+04       1.20e+13    \n",
      "       9             11         3.9083e+10      9.91e+08       7.28e+03       8.57e+09    \n",
      "      10             12         3.9079e+10      3.44e+06       2.74e+03       2.73e+10    \n",
      "      11             13         3.9079e+10      2.18e+04       1.60e+02       2.11e+07    \n",
      "      12             14         3.9079e+10      1.37e+02       1.77e+01       8.98e+07    \n",
      "`ftol` termination condition is satisfied.\n",
      "Function evaluations 14, initial cost 1.3272e+14, final cost 3.9079e+10, first-order optimality 8.98e+07.\n"
     ]
    }
   ],
   "source": [
    "def general_logistic_shift(x, L, k, v, s):\n",
    "    return (L - s) / ((1 + np.exp(-k * x)) ** (1 / v)) + s\n",
    "\n",
    "# bounds\n",
    "lower = y_texas.iloc[-1], 0.01, 0.01, 0\n",
    "upper = 4_000_000, 0.5, 1, y_texas.iloc[-1]\n",
    "bounds = lower, upper\n",
    "\n",
    "# initial guess for L, k, v, s\n",
    "p0 = 3_000_000, 0.1, 0.1, y_texas.iloc[-1]\n",
    "\n",
    "# run with verbose\n",
    "y = y_texas.values\n",
    "x = np.arange(len(y))\n",
    "res = least_squares(optimize_func, p0, args=(x, y, general_logistic_shift), bounds=bounds, verbose=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "portable-tennessee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3.09593846e+06, 2.35572536e-02, 1.67280465e-01, 8.22521910e+05])"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res.x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "desirable-crisis",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 840x420 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "manual_fit(y_texas, general_logistic_shift, res.x)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "italian-dover",
   "metadata": {},
   "source": [
    "## Modeling Deaths\n",
    "\n",
    "* Could do same thing\n",
    "* Use historical case fatality rate (fraction of cases that lead to death)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "accomplished-messaging",
   "metadata": {},
   "source": [
    "## Ensembling and modeling new waves\n",
    "\n",
    "* Modeling new waves\n",
    "    * Could model `L` as a Logistic function itself (many parameters)\n",
    "    * Only allow model to see n previous days\n",
    "    * Choose many different values of n and average result"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
